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1241423120 = 24572638429
BaseRepresentation
bin100100111111110…
…1001110100010000
310012111221211101002
41021333221310100
510020301014440
6323104001132
742522631250
oct11177516420
93174854332
101241423120
11587829623
122a79001a8
1316a2689c2
14bac33960
1573ebe115
hex49fe9d10

1241423120 has 80 divisors (see below), whose sum is σ = 3311573760. Its totient is φ = 423962112.

The previous prime is 1241423107. The next prime is 1241423129. The reversal of 1241423120 is 213241421.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×12414231202 = 3082262725741068800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1241423092 and 1241423101.

It is not an unprimeable number, because it can be changed into a prime (1241423129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143066 + ... + 151494.

It is an arithmetic number, because the mean of its divisors is an integer number (41394672).

Almost surely, 21241423120 is an apocalyptic number.

1241423120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1241423120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655786880).

1241423120 is an abundant number, since it is smaller than the sum of its proper divisors (2070150640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1241423120 is a wasteful number, since it uses less digits than its factorization.

1241423120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8712 (or 8706 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1241423120 is about 35233.8348750175. The cubic root of 1241423120 is about 1074.7479113240.

Adding to 1241423120 its reverse (213241421), we get a palindrome (1454664541).

The spelling of 1241423120 in words is "one billion, two hundred forty-one million, four hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 263 280 526 560 1052 1315 1841 2104 2630 3682 4208 5260 7364 8429 9205 10520 14728 16858 18410 21040 29456 33716 36820 42145 59003 67432 73640 84290 118006 134864 147280 168580 236012 295015 337160 472024 590030 674320 944048 1180060 2216827 2360120 4433654 4720240 8867308 11084135 15517789 17734616 22168270 31035578 35469232 44336540 62071156 77588945 88673080 124142312 155177890 177346160 248284624 310355780 620711560 1241423120